Sub-Hilbert relation for Fock-Sobolev type spaces

被引:0
|
作者
Eskandari, Setareh [1 ,2 ]
Abkar, Ali [2 ]
Ahag, Per [1 ]
Perala, Antti [1 ]
机构
[1] Umea Univ, Dept Math & Math Stat, S-90187 Umea, Sweden
[2] Imam Khomeini Int Univ, Dept Pure Math, Fac Sci, Qazvin 34149, Iran
来源
关键词
Sub-Fock Hilbert space; Fock-Sobolev spaces; Toeplitz operator; reproducing kernel; UNIT BALL; BERGMAN; OPERATORS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, two specific sub-Hilbert spaces are studied. They arise from the action of a Toeplitz operator on Fock-Sobolev type spaces, induced by a general Gaussian type weight. The argument is based on analysing the reproducing kernel of the corresponding sub-Hilbert space.
引用
收藏
页码:958 / 969
页数:12
相关论文
共 50 条
  • [21] Banach space structure of weighted Fock-Sobolev spaces
    He, Li
    Cao, Guangfu
    FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (03) : 693 - 703
  • [22] Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces
    Yiyuan ZHANG
    Guangfu CAO
    Li HE
    Chinese Annals of Mathematics,Series B, 2022, (03) : 401 - 416
  • [23] Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces
    Zhang, Yiyuan
    Cao, Guangfu
    He, Li
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 43 (03) : 401 - 416
  • [24] Linear Combinations of Composition Operators on the Fock-Sobolev Spaces
    Hong Rae Cho
    Boo Rim Choe
    Hyungwoon Koo
    Potential Analysis, 2014, 41 : 1223 - 1246
  • [25] Linear Combinations of Composition Operators on the Fock-Sobolev Spaces
    Cho, Hong Rae
    Choe, Boo Rim
    Koo, Hyungwoon
    POTENTIAL ANALYSIS, 2014, 41 (04) : 1223 - 1246
  • [26] Banach space structure of weighted Fock-Sobolev spaces
    Li He
    Guangfu Cao
    Frontiers of Mathematics in China, 2016, 11 : 693 - 703
  • [27] Bounded and Compact Hankel Operators on the Fock-Sobolev Spaces
    Gupta, Anuradha
    Gupta, Bhawna
    FILOMAT, 2022, 36 (14) : 4767 - 4778
  • [28] Integral Operators on Fock-Sobolev Spaces via Multipliers on Gauss-Sobolev Spaces
    Wick, Brett D.
    Wu, Shengkun
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2022, 94 (02)
  • [29] Commuting Toeplitz Operators on Fock-Sobolev Spaces of Negative Orders
    Cho, Hong Rae
    Lee, Han-Wool
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (10) : 1989 - 2005
  • [30] HANKEL BILINEAR FORMS ON GENERALIZED FOCK-SOBOLEV SPACES ON Cn
    Cascante, Carme
    Fabrega, Joan
    Pascuas, Daniel
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2020, 45 : 841 - 862